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Finding the Fourth Proportional to 19,320, 28,969.35 and 5,989.31

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Solution

The fourth proportional to 19,320, 28,969.35 and 5,989.31 is: 8,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,320 : 28,969.35 = 5,989.31 : x
  2. Step 2: Convert to fraction form
    19,320/28,969.35 = 5,989.31/x
  3. Step 3: Cross multiply
    19,320x = 28,969.35 × 5,989.31
  4. Step 4: Simplify right side
    19,320x = 173,506,272.80
  5. Step 5: Solve for x
    x = 173,506,272.80/19,320
  6. Step 6: Final answer
    x = 8,980.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.